G & T Practice

Practice Questions

This page has a variety of tasks designed for practise and revision. Practice questions are an important part consolidating students' understanding of a concept. They can be found from numerous sources and the following is not intended as a 'fix all' solution. Most teachers appreciate that questions gathered from numerous different sources make the best diet!

Worksheets

Below are links to a series of focussed worksheets for this topic. The worksheets consist largely of 'Practise Questions' but most finish with more open ended questions to extend. Ultimately, students need to be able to answer questions from a variety of topics and contexts, but often it is necessary to spend some time focussing on particular skills whilst still in the process of learning them. The worksheets are clearly titled according to the particular sub-topic and come complete with answers.

Coordinates, points and lines

 Distance between 2 Points - This is a worksheet designed to practise applying Pythagoras' theorem to working out the distance of between 2 points given the coordinates. This is a good follow up to the 'As the Crow Flies' activity.  answers.

 Midpoints - Students practise finding the midpoint of any two points. This is a good follow up to the 'Stuck in the Middle' activity.  answers.

Lines, properties and relationships

  Gradients - Find the gradients of some given lines, find the gradients between given pairs of points, draw lines with given gradients. This is a good follow up to the 'Steep' activity.  answers.

  Perpendicular - A short exercise designed to help practise solving problems involving the gradients of perpendicular lines.  answers.

 Straight line expressions - An exercise to practise using both forms of the equation of a straight line.  answers.

Right-angled trigonometry

 SOHCAHTOA - An exercise to practise the application of right angled trigonometry.  answers.

Non - right angled trigonometry

  Sine rule, cosine, rule, area - An exercise designed to practise problem solving with non-right angled trigonometry. Students will practise identifying which rule is appropriate.  answers.

Geometry of solids

  3D Geometry - Some practice of application of the formulae for 3D shapes.  answers.

Revision Notes

This is a series of 'Fill in the Gaps' notes that I have created to help students keep useful records of the course. The rationale is explained in more detail on the 'Exams and Revision pages. Essentially the aim is bridge the gap between Students making their own notes on a blank canvas and being given detailed notes that they did not create.

  G & T Notes - Coordinate Geometry (New 5.1, Previous 5.1, 5.2)

  G & T Notes - Right-angled Trigonometry (New 5.2, Previous 5.3)

  G & T Notes - Sine and Cosine rules (New 5.3, Previous 5.4)

  G & T Notes - Geometry of 3D Shapes (New 5.4, 5.5, Previous 5.5)

IB style question

These will be past paper style questions to be used as a revision exercise at the end of teaching the topic. These are 'IB style' questions for the new syllabus that should help students to experience and build strategies for answering these types of questions. These can be given as preparation for a test of a similar nature available through the test page.

 Coordinate Geometry Coordinate Geometry - This set of questions is designed to help students link the skills from sections 5.1 and 5.2 of the syllabus together to solve problems. This can be given as preparation for a test of a similar nature available through the test page (teachers only). Answers.

 Right angled trigonometry Trigonometry - This set of questions is designed to help students link the skills from sections 5.3 and 5.4 of the syllabus together to solve problems. This can be given as preparation for a test of a similar nature available through the test page (teachers only). Answers

 Non Right angled trigonometry More exam style questions - this time it is no right angled trig. here are the answers

 3D Geometry - This set of questions is designed to help students use the skills from section 5.5 of the syllabus to solve problems.  answers

As the new syllabus is only just coming in to action these questions will take some time to develop. In the mean time I recommend the very useful and relevant  IB questionbank published by the IBO. This resource has actual past paper questions and in fully searchable and customisable for the easy creation of practice resources and tests.

Errors - an appeal to users!

Few are infallible and we have all experienced frustration in finding errors in shiny new textbooks that we have just paid lots of money for! The advantage of online resources should be that as soon as errors are found they can be pointed out and corrected! When you find errors, please accept my apologies for the inevitable frustration it can cause but please also tell me as soon as you can on jamesn@inthinking.co.uk so that I can correct it as soon as possible! Thank you!

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Comments 2

Cassandra Harrison 9 May 2017 - 17:43

Can you post the answers to 3D Geometry IB style Questions? Thanks!

Jim Noble 21 September 2017 - 21:41

Sorry it took so long - hopefully useful to you next time, but I have now posted the solutions


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